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Finding the Third Proportional to 211,221 and 439,921.13

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Solution

The third proportional to 211,221 and 439,921.13 is: 916,246.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,221 : 439,921.13 = 439,921.13 : x
  2. Step 2: Convert to fraction form
    211,221/439,921.13 = 439,921.13/x
  3. Step 3: Cross multiply
    211,221x = 439,921.13 × 439,921.13
  4. Step 4: Simplify right side
    211,221x = 193,530,596,221.27
  5. Step 5: Solve for x
    x = 193,530,596,221.27/211,221
  6. Step 6: Final answer
    x = 916,246.95

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.